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Finding the Third Proportional to 2,878,185 and 6,297,139

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Solution

The third proportional to 2,878,185 and 6,297,139 is: 13,777,418.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878,185 : 6,297,139 = 6,297,139 : x
  2. Step 2: Convert to fraction form
    2,878,185/6,297,139 = 6,297,139/x
  3. Step 3: Cross multiply
    2,878,185x = 6,297,139 × 6,297,139
  4. Step 4: Simplify right side
    2,878,185x = 39,653,959,585,321
  5. Step 5: Solve for x
    x = 39,653,959,585,321/2,878,185
  6. Step 6: Final answer
    x = 13,777,418.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.